Atkin-Lehner |
3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
93633g |
Isogeny class |
Conductor |
93633 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
240768 |
Modular degree for the optimal curve |
Δ |
124749399552633 = 33 · 238 · 59 |
Discriminant |
Eigenvalues |
1 3- 0 -4 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13501,274139] |
[a1,a2,a3,a4,a6] |
j |
1838265625/842697 |
j-invariant |
L |
1.5784263553362 |
L(r)(E,1)/r! |
Ω |
0.52614206046185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4071a1 |
Quadratic twists by: -23 |